Rep. Luis V. Gutiérrez, the Illinois Democrat who has been at the forefront of efforts to overhaul immigration in Congress, said Friday there are enough votes in the House Republican caucus now to pass a bipartisan bill.

"There are 40, 50, 60 ... Republicans" who will join Democrats to pass a bill, Gutiérrez said in an appearance on MSNBC. The congressman and other Democrats, frustrated with lack of action from GOP leaders, are urging on President Barack Obama, who has indicated he will take unilateral action on immigration perhaps as early as next week.

"The problem is they won't give us a vote on all of the wonderful work. I don't want to mention the names of my Republican colleagues that I worked with but you know who they are," the Illinois Democrat told MSNBC's Jose Diaz-Balart, whose brother is a Republican congressman from Miami. "There are dozens of them."

Diaz-Balart's brother, Rep. Mario Diaz-Balart, R-Fla., told CQ Roll Call earlier this year that he was close to having enough Republican votes to pass a bipartisan immigration overhaul in the House that would balance GOP demands for border security with Democratic calls for legal status for the undocumented.

But Republicans backed off the issue this summer after an unprecedented surge of Central-American children and women crossing illegally into Texas and the primary loss of then-Majority Leader Eric Cantor, who previously had indicated some support for an overhaul.